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11113323312 = 2437134615519
BaseRepresentation
bin10100101100110011…
…11101101100110000
31001200111200022121010
422112121331230300
5140230002321222
65034433030520
7542253455340
oct122631755460
931614608533
1011113323312
1147931aa323
1221a19b5440
131081554570
14775d6cd20
154509c680c
hex29667db30

11113323312 has 160 divisors (see below), whose sum is σ = 35417733120. Its totient is φ = 2924098560.

The previous prime is 11113323229. The next prime is 11113323313. The reversal of 11113323312 is 21332331111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11113323313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010889 + ... + 2016407.

It is an arithmetic number, because the mean of its divisors is an integer number (221360832).

Almost surely, 211113323312 is an apocalyptic number.

11113323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708866560).

11113323312 is an abundant number, since it is smaller than the sum of its proper divisors (24304409808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11113323312 is a wasteful number, since it uses less digits than its factorization.

11113323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 6005 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 11113323312 its reverse (21332331111), we get a palindrome (32445654423).

The spelling of 11113323312 in words is "eleven billion, one hundred thirteen million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 461 546 624 728 922 1092 1383 1456 1844 2184 2766 3227 3688 4368 5519 5532 5993 6454 7376 9681 11038 11064 11986 12908 16557 17979 19362 22076 22128 23972 25816 33114 35958 38633 38724 41951 44152 47944 51632 66228 71747 71916 77266 77448 83902 88304 95888 115899 125853 132456 143494 143832 154532 154896 167804 215241 231798 251706 264912 286988 287664 309064 335608 430482 463596 502229 503412 573976 618128 671216 860964 927192 1004458 1006824 1147952 1506687 1721928 1854384 2008916 2013648 2544259 3013374 3443856 4017832 5088518 6026748 7632777 8035664 10177036 12053496 15265554 17809813 20354072 24106992 30531108 33075367 35619626 40708144 53429439 61062216 66150734 71239252 99226101 106858878 122124432 132301468 142478504 198452202 213717756 231527569 264602936 284957008 396904404 427435512 463055138 529205872 694582707 793808808 854871024 926110276 1389165414 1587617616 1852220552 2778330828 3704441104 5556661656 11113323312